Collision

We show that the Linear Sigma Model with quarks produces an eﬀective description of the QCD phase diagram and of the system’s equilibrium distribution properties that deviate from those of the Hadron Resonance Gas Model. The deviation is due to the inclusion of plasma screening properties, encoded in the contribution of the ring diagrams and thus to the introduction of a key feature of plasmas near phase transitions, namely, long-range correlations. After ﬁxing the model parameters using input from LQCD for the crossover transition at vanishing chemical potential, we study the location of the Critical End Point in the eﬀective QCD phase diagram. We use the model to study baryon number ﬂuctuations and show that in heavy-ion collisions, the CEP can be located for collision energies √ 𝑠 𝑁 𝑁 ∼ 2 GeV, namely, in the lowest NICA or within the HADES energy domain.


5.
If the resultant force acting on a 2.0-kg object is equal to Mg*sin[theta]*v = … 7. A 10-kg object is dropped from rest. After falling a distance of 50 m, it has a speed of 26 m/s. How much work is done by the dissipative (air) resistive force on the object during this descent?
A) -1.3 kJ B) -1.5 kJ C) -1.8 kJ D) -2.0 kJ E) -2.3 kJ Delta K = W= Wgrav+Wfric, thus Wfric = Delta K -Wgrav = ½ mV^2-0 -mg*50 = … <0 8. A horizontal spring with a 10000 N/m spring constant is compressed 0.08 m, and a 12-kg block is placed against it. When the block is released, the block shoots forward along a horizontal surface that exerts 8 N friction force on the block. How far from the original position does the block travel before coming to a stop? 10 A certain pendulum consists of a 2-kg mass swinging at the end of a string (length = 2.0 m). At the lowest point in the swing the tension in the string is equal to 30 N. What angle will the string make with a vertical when the mass reaches its maximum height? A) 42.7 0 B) 28.4 0 C) 12 .5 0 D) 56 0 T-mg=mV^2/R and ½ mV^2=mgh, h=L*(1-cos[theta]) 11. A roller coaster track has a hill with a circular curve of radius r =15 m. What is the normal force on the 60-kg passenger when the roller coaster passes the hill at 8 m/s? K(x)+U(x)=const=K(0), or K(X)=K(0)-U(X)=1/2*2.0*4.0^2-1/2*200*X^2 with X=0.20 and v(X)=sqrt[2K(X)/2.0]=…

15.
The block shown is released from rest when the spring is stretched a distance d. If k = 50 N/m, m = 0.50 kg, d = 10 cm, and the coefficient of kinetic friction between the block and the horizontal surface is equal to 0.25, determine the speed of the block when it first passes through the position for which the spring is unstretched.
A 2.0-kg object moving 5.0 m/s collides with and sticks to an 8.0-kg object initially at rest. Determine the kinetic energy lost by the system as a result of this collision.

17.
A 10-g bullet moving 1 000 m/s strikes and passes through a 2.0-kg block initially at rest, as shown. The bullet emerges from the block with a speed of 400 m/s. To what maximum height will the block rise above its initial position? At the instant a 2.0-kg particle has a velocity of 4.0 m/s in the positive x direction, a 3.0-kg particle has a velocity of 5.0 m/s in the positive y direction. What is the speed of the center of mass of the two-particle system? a  V=sqrt[2*g*34.3]=…, Delta p= 0.28*V-0.28*0=… 20. Three particles are placed in the xy plane. A 2-kg particle is located at (3, 4) m, a 5-kg particle is positioned at (2, 6) m, and a 3-kg particle is postioned at ( 6,0 )m . Find the coordinates of center of mass of the system. Wheel 2 6. A uniform rod of length 1.3-m and mass 29-kg is free to rotate about a frictionless pivot at one end in a vertical plane, as in the figure. The rod is released from rest in the horizontal position. What is the initial angular acceleration of the rod? A) 2.4 rad/s 2 B) 4.8 rad/s 2 C) 7.3 rad/s 2 D) 9.8 rad/s 2 E) 11.3 rad/s 2 Physics 111 Exam 3 Name (please print) _____________________________________ . One wheel of rotational inertia I 1 =2 kgm 2 is rotating freely at 20 rad/sec in counterclockwise direction on a shaft whose rotational inertia is negligible. A second wheel of rotational inertia I 2 =5 kgm 2 , rotating freely at 15 rad/sec in the opposite direction, is suddenly coupled along the same shaft to the first wheel. Afterwards, the coupled wheel system rotates at A) 1.0 rad/s, counterclockwise B) 2.25 rad/s , clockwise C) 4.5 rad/s , clockwise D) 5.0 rad/s , counterclockwise E) 5.0 rad/s , clockwise 12. A 4-g object is dropped onto a record of rotational inertia I = 200 gcm 2 initially rotating freely at 78 revolutions per minute (rpm). The object adheres to the surface of the record at distance 5 cm from its center. The angular velocity of the record is A) 24 rpm B) 36 rpm C) 42 rpm D) 52 rpm E) 78 rpm Physics 111 Exam 3 Name (please print) _____________________________________ A Workout Problem 1. A driver traveling at 56 m/s in a car of mass 1100 kg runs into the rear end of a police car of mass 1500 kg, traveling at 15 m/s. The collision is completely inelastic, and all motion is restricted to a straight line. a) Immediately following the collision, what is the shared velocity of the two cars? b) The engines stop working, wheels lock up, and the coefficient of kinetic friction of the cars is 0.7. What is the magnitude of the frictional force acting on the two cars as they slide to a halt? c) What is the kinetic energy of the two cars immediately following the collision? 1100*56+1500*15= (1100+1500)*V, V=…., K=1/2*(1100+1500)*V^2 =… (much smaller than ½*1100^56^2 + 1/2 *1500*15^2) Workout Problem 2. A cylindrical pulley with a mass of M = 6 kg and a radius of r = 0.7 m is used to lower a bucket with a mass of m = 3 kg into a well. a) What is the rotational inertia I of the pulley? b) What is the linear acceleration of the falling bucket?
1 As a student at NJIT I will conduct myself in a professional manner and will comply with the provisions of the NJIT Academic Honor Code. I also understand that I must subscribe to the following pledge : On my honor, I pledge that I have not violated the provisions of the NJIT Academic Honor Code. As a student at NJIT I will conduct myself in a professional manner and will comply with the provisions of the NJIT Academic Honor Code. I also understand that I must subscribe to the following pledge : On my honor, I pledge that I have not violated the provisions of the NJIT Academic Honor Code. 1. A 3.0-kg ball with an initial velocity of (4i + 3j) m/s collides with a wall and rebounds with a velocity of (-4i + 3j) m/s. What is the impulse exerted on the ball by the wall?

The exam is closed book and closed notes
2. An m= 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to an M= 60-g particle moving 50 m/s in the positive y direction. What is the magnitude of the velocity of the composite system after the collision?
Derivatives/integrals. d dt t n = nt n−1 , r n dr = 1 n+1 r n+1 Vectors. If c = a+ b, then c x = a x +b x , c y = a y +b y , c z = a z +b z and c = c 2 x + c 2 y + c 2 z . Dot product: a · b = a x b x + a y b y + a z b z = ab cos α. Cross product:î ×ĵ =k ,ĵ ×k =î ,k ×î =ĵ.